Answer:
The correct option is B.
Step-by-step explanation:
The given vertices are (-4,2),(1,2),(1,-3) and (-4,-3).
Plot these point on a coordinate plate. From the graph it is noticed that the given quadrilateral is a square.
Distance formula:
Use distance formula to find the side length.
Since both consecutive sides are equal therefore it is a square.
Area of a square is
Where, a is side length.
The side length of the square is 5. So, area of ABCD is
Therefore the area of quadrilateral is 25 units square. Option B is correct.
Answer:
G (1,7)
H (2,7)
F (1,-1)
E (2,-1)
Step-by-step explanation:
Answer:
He wont foul out with probability 0.9093
Step-by-step explanation:
The total number of fools he picked is a Binomial ditribution noted by X with parameters p = 0.05 and N = 48. The mean of this random variable is μ = np = 48*0.05 = 2.4 and the variance is σ² = np(1-p) = 2.4*0.95 = 2.28, hence its standard deviation is σ = √2.28 = 1.51.
Note that, if approximate probability is asked, we could just approximate X with a Normal random variable with mean 2.4 and standard deviation 1.51 (this can be done because of the central limit theorem). We will calculate the probability manually. He wont foul out if he picks 0,1,2,3 or 4 fouls, thus
As a consecuence, he wont foul out with probability 0.9093.
Answer:
$24.875
Step-by-step explanation:
If we use an equation to solve the total amount, like y=9.95x where x is the gallons purchased. We then multiply 9.95 by 2.5 to get 24.875
Answer:
B: 5x+5.75
Step-by-step explanation:
2 cones with fruit:
cones= x+x=2x
fruit= $1 x 2=$2
=2x+ 2
3 cones with candy and syrup:
cones= x+x+x=3x
candy= $0.75x3=$2.25
syrup= $0.50x3=$1.50
3x+ (2.25+1.50)
=3x+3.75
both of them together=
(3x+3.75)+(2x+2)= 5x+5.75
